论文标题
磁盘中完全分享大地曲面的全态映射的唯一定理
A Uniqueness Theorem for Holomorphic Mappings in the Disk Sharing Totally Geodesic Hypersurfaces
论文作者
论文摘要
在本文中，我们证明了在复杂的投影空间$ \ mathbb {p}^k $中，在磁盘上的第二个主要定理，其图像相交，其图像相交，其图像与某些非线性超曲面（完全是地球性超曲面有关）。这是对卡坦第二个主要定理的概括。结果，我们建立了与holomorphic映射的唯一定理，该定理与$ o（k^3）$许多完全测量的超曲面相交。
In this paper, we prove a Second Main Theorem for holomorphic mappings in a disk whose image intersects some families of nonlinear hypersurfaces (totally geodesic hypersurfaces with respect to a meromorphic connection) in the complex projective space $\mathbb{P}^k$. This is a generalization of Cartan's Second Main Theorem. As a consequence, we establish a uniqueness theorem for holomorphic mappings which intersects $O(k^3)$ many totally geodesic hypersurfaces.
